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317838880 = 25537531013
BaseRepresentation
bin10010111100011…
…101011000100000
3211011001212222101
4102330131120200
51122331321010
651312220144
710606404652
oct2274353040
9734055871
10317838880
11153459067
128a53a654
1350b05658
14302d86d2
151cd8473a
hex12f1d620

317838880 has 96 divisors (see below), whose sum is σ = 786515184. Its totient is φ = 121245696.

The previous prime is 317838823. The next prime is 317838931. The reversal of 317838880 is 88838713.

It can be written as a sum of positive squares in 8 ways, for example, as 127509264 + 190329616 = 11292^2 + 13796^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 317838880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313254 + ... + 314266.

Almost surely, 2317838880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393257592).

317838880 is an abundant number, since it is smaller than the sum of its proper divisors (468676304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

317838880 is a wasteful number, since it uses less digits than its factorization.

317838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 317838880 is about 17828.0363472818. The cubic root of 317838880 is about 682.4471229725.

The spelling of 317838880 in words is "three hundred seventeen million, eight hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 53 74 80 106 148 160 185 212 265 296 370 424 530 592 740 848 1013 1060 1184 1480 1696 1961 2026 2120 2960 3922 4052 4240 5065 5920 7844 8104 8480 9805 10130 15688 16208 19610 20260 31376 32416 37481 39220 40520 53689 62752 74962 78440 81040 107378 149924 156880 162080 187405 214756 268445 299848 313760 374810 429512 536890 599696 749620 859024 1073780 1199392 1499240 1718048 1986493 2147560 2998480 3972986 4295120 5996960 7945972 8590240 9932465 15891944 19864930 31783888 39729860 63567776 79459720 158919440 317838880